Dunsmore is a tight end out of Northwestern selected No. 233 overall. Smith is a running back from Utah State who was the 212th pick.
The Bucs also signed veteran free agent cornerback Derrick Roberson and defensive end Hilee Taylor on Monday.
Undrafted free agents WR Luther Ambrose, LB Ryan Baker, LB Mike Balogun, QB Zach Collaros, S Ron Girault, C Chaz Hine, DT Donte'e Nicholls, T Trevor Olson, G Chris Riley, K Jake Rogers, CB Quenton Washington and T Rocky Weaver were released.